[PDF][PDF] E-optimality conditions and Wolfe E-duality for E-differentiable vector optimization problems with inequality and equality constraints

T Antczak, N Abdulaleem - J. Nonlinear Sci. Appl, 2019 - researchgate.net
In this paper, a nonconvex vector optimization problem with both inequality and equality
constraints is considered. The functions constituting it are not necessarily differentiable, but …

On-line conservative learning for person detection

PM Roth, H Grabner, H Bischof… - … Workshop on Visual …, 2005 - ieeexplore.ieee.org
We present a novel on-line conservative learning framework for an object detection system.
All algorithms operate in an on-line mode, in particular we also present a novel on-line …

On vector variational E-inequalities and differentiable vector optimization problem

T Antczak, N Abdulaleem - Opsearch, 2024 - Springer
In this paper, in order to characterize optimality of a class of nonconvex differentiable
multiobjective programming problems, we introduce two new types of vector variational-like …

[PDF][PDF] On convex functions, E-convex functions and their generalizations: applications to non-linear optimization problems

SN Majeed, MI Abd Al-Majeed - International Journal of Pure and …, 2017 - researchgate.net
An important class of generalized convex sets and convex functions, called E-convex sets
and E-convex functions, have been introduced and studied by Youness and other …

Quasi strongly E-convex functions with applications

A Hussain, A Iqbal - Nonlinear Functional Analysis and …, 2021 - nfaa.kyungnam.ac.kr
In this article, we introduce the quasi strongly E-convex function and pseudo strongly E-
convex function on strongly E-convex set which generalizes strongly E-convex function …

[PDF][PDF] Exponentially E-Convex vector optimization problems

N Abdulaleem - Journal of Industrial and Mangement Optimization, 2024 - researchgate.net
In this paper, we introduced a new concept of generalized convexity for differentiable vector
optimization problems. Namely, the notion of exponentially E-convexity is defined as a …

[PDF][PDF] A study on the duality of E-convex nonlinear programming problem

AA Megahed, HG Gomma, EA Youness… - International Journal of …, 2013 - m-hikari.com
In this work, we will study a class of the duality problem of E-convex programming. The weak
and strong theorems for the duality problem of E-convex programming are given to show the …

[PDF][PDF] Semi-(E, F)-convexity in complex programming problems

ME Elbrolosy - AIMS Math, 2022 - aimspress.com
Under recent circulars on the notions of convexity for real sets and functions like E-convexity
and (E, F)-convexity, we expand the notions of (E, F) and semi-(E, F)-convexity to include …

[PDF][PDF] Optimality conditions and duality for E-differentiable semi-infinite programming with multiple interval-valued objective functions under generalized E-convexity

T LE THANH - 2020 - jnfa.mathres.org
In this paper, optimality conditions and duality for E-differentiable semi-infinite programming
with multiple interval-valued objective functions are investigated. We first establish Karush …

Multi-objective Optimization Problems and Vector Variational-like Inequalities Involving Semi-strong E-convexity

G Yu, Y Lu - 2011 Fourth International Joint Conference on …, 2011 - ieeexplore.ieee.org
Multi-objective optimization and vector variational-like inequality are two important topics in
applied mathematics, and an interesting topic is to study their relationships under the …